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8th grade Simplify expressions: distribute and combine like terms worksheet

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

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Simplify expressions: distribute and combine like terms

Grade 8 Math Worksheet - Building Confidence

NameDate

Circle the best answer, or write your answer on the line.

  1. Ari's card shows 3x + 5 − x + 2. The x terms join, and the plain numbers join. How would Ari write it with as few terms as possible?

  2. Bo's card shows 6x − 4 + 2x − 3. The x terms join, and the plain numbers join. How would Bo write it with as few terms as possible?

  3. Jun's card shows −2x + 9 + 7x − 4. The x terms join, and the plain numbers join. How would Jun write it with as few terms as possible?

  4. Kira spreads −2(x − 4): the −2 multiplies each term inside. How would Kira write −2(x − 4) with as few terms as possible?

  5. Luz spreads −3(2x + 7): the −3 multiplies each term inside. How would Luz write −3(2x + 7) with as few terms as possible?

  6. Milo spreads 5(3 − 2x): the 5 multiplies each term inside. How would Milo write 5(3 − 2x) with as few terms as possible?

  7. Noah spreads 3(x − 6): the 3 multiplies each term inside. How would Noah write 3(x − 6) with as few terms as possible?

  8. Ren spreads 2(3x + 7) first, then joins the x terms. How would Ren write 2(3x + 7) − 5x with as few terms as possible?

  9. Tala spreads 4(x − 3) first, then joins the x terms. How would Tala write 4(x − 3) + 2x with as few terms as possible?

  10. Zee spreads 5(2x + 1) first, then joins the x terms. How would Zee write 5(2x + 1) − 3x with as few terms as possible?

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8th grade Simplify expressions: distribute and combine like terms worksheet – printable
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About this worksheet

Simplify expressions: distribute and combine like terms. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can write 4(x − 2) − 2(x + 1) with as few terms as possible: 2x − 10.
  • I can find a missing number that makes two expressions equal for every x.

Standard: state-only (CCSS 7.EE.A.1)

Words to know

term: One piece of an expression, with its sign: −3x or +8.

like terms: Terms with the same letter part: 6x and 2x, or −4 and −3.

spread: Multiply the number outside a bracket by every term inside.

as few terms as possible: Every like term joined: one x term and one plain number.

Common mistakes

Your child added x terms and plain numbers together as if they were the same kind of piece.

Your child dropped a minus sign while combining.

Your child multiplied only the first term inside the bracket.

What to say

Ask: can 3 bags and 5 loose marbles make 8 bags?

Ask: which terms have a minus in front of them?

Ask: if 3 bags each hold x marbles and 2 stickers, how many stickers are there?

Questions parents ask

What is the most common mistake with simplify expressions: distribute and combine like terms?

Your child added x terms and plain numbers together as if they were the same kind of piece.

How can I help my child with simplify expressions: distribute and combine like terms?

Ask: can 3 bags and 5 loose marbles make 8 bags?

Are these 8th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

More grade 8 math

See all grade 8 math

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